Answer:

Step-by-step explanation:
Apply pythagorean theorem:
ABD is a right triangle with angle ADB = 90
hence AD =
where BD = 10 because it is half of BC
AD =
= 
There are 108 that are cows
Answer:
63 yellow marbles
Step-by-step explanation:
You can set up this equation as a proportion:
7/5 = x/45
Divide 45 by 5 to see what 7/5 must be multiplied by to get to x/45.
You should get 9, so also multiply 7 by 9 to get this:
7/5 = 63/45
This shows that there are 63 yellow marbles for 45 green marbles.
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Answer:
p(-5/3) ≠ 0 So, (3 x +5) is NOT A FACTOR of p(x)
Step-by-step explanation:
Here, the given function is 
Now, the given root of the function is ( 3x +5)
Now, if ( 3 x + 5) = 0,
we get x = - 5/3
So, the zero of the given polynomial is x = -5/3
Then, x = -5/3, p(x) =0 ⇒ ( 3 x + 5) is a FACTOR of p(x)
Now, let us find the value of function at x = -5/3
Substitute x = -5/3 in the given function p(x), we get:

Now, as p(-5/3) ≠ 0 So, (3x +5) is NOT A FACTOR of p(x)